UV/IR Mixing and Anomalies in Noncommutative Gauge Theories

  title={UV/IR Mixing and Anomalies in Noncommutative Gauge Theories},
  author={Tadahito Nakajima},
Using path integral method (Fujikawa’s method) we calculate anomalies in noncommutative gauge theories with fermions in the bi-fundamental and adjoint representations. We find that axial and chiral gauge anomalies coming from non-planar contributions are derived in the low noncommutative momentum limit e p µ ( ≡ θ µν p ν ) → 0. The adjoint chiral fermion carries no anomaly in the non-planar sector in D = 4 k ( k = 1 , 2 , . . . , ) dimensions. It is naturally shown from the path integral method… 

Gravitational anomalies in noncommutative field theory

Gravitational axial and chiral anomalies in a noncommutative space are examined through the explicit perturbative computation of one-loop diagrams in various dimensions. The analysis depend on how

On the problem of renormalizability in non‐commutative gauge field models – a critical review

When considering quantum field theories on non‐commutative spaces one inevitably encounters the infamous UV/IR mixing problem. So far, only very few renormalizable models exist and all of them

Aspectos de la teoría cuántica de campos noconmutativa en espacios curvos

In the present work we examine the chiral gravitational and gauge anomalies in a noncommutative space trough an explicit perturbative calculation using one-loop Feynman diagrams in various

Gauge Theories on Deformed Spaces

The aim of this review is to present an overview over available models and approaches to non-commutative gauge theory. Our main focus thereby is on gauge models formulated on flat Groenewold-Moyal



The UV and IR origin of non-Abelian chiral gauge anomalies on noncommutative Minkowski spacetime

We discuss both the UV and IR origins of the one-loop triangle gauge anomalies for noncommutative non-Abelian chiral gauge theories with fundamental, adjoint and bi-fundamental fermions for U(N)

Conformal anomalies in noncommutative gauge theories

We calculate conformal anomalies in noncommutative gauge theories by using the path integral method (Fujikawa's method). Along with the axial anomalies and chiral gauge anomalies, conformal anomalies

Noncommutative chiral gauge theories on the lattice with manifest star-gauge invariance

We show that noncommutative U(r) gauge theories with a chiral fermion in the adjoint representation can be constructed on the lattice with manifest star-gauge invariance in arbitrary even dimensions.

Noncommutative perturbative dynamics

We study the perturbative dynamics of noncommutative field theories on R d , and find an intriguing mixing of the UV and the IR. High energies of virtual particles in loops produce non-analyticity at

Gauge anomalies and the Witten-Seiberg correspondence for N=1 supersymmetric theories on noncommutative spaces

The explicit form of non-Abelian noncommutative supersymmetric (SUSY) chiral anomaly is calculated, the Wess–Zumino consistency condition is verified and the correspondence of the Yang–Mills sector to

★-Wars episode I: the phantom anomaly